165030709947840 has 1344 divisors, whose sum is σ = 673316570234880. Its totient is φ = 36654197760000.

The previous prime is 165030709947797. The next prime is 165030709947853. The reversal of 165030709947840 is 48749907030561.

165030709947840 is a `hidden beast` number, since 1 + 6 + 5 + 0 + 3 + 0 + 70 + 99 + 478 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47600433787 + ... + 47600437253.

Almost surely, 2^{165030709947840} is an apocalyptic number.

165030709947840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165030709947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336658285117440).

165030709947840 is an abundant number, since it is smaller than the sum of its proper divisors (508285860287040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165030709947840 is a wasteful number, since it uses less digits than its factorization.

165030709947840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6102 (or 6089 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 165030709947840 in words is "one hundred sixty-five trillion, thirty billion, seven hundred nine million, nine hundred forty-seven thousand, eight hundred forty".